航空学报 > 1992, Vol. 13 Issue (11): 678-681

一种新的有限元线性方程组的求解算法

帅朝林, 杨庆雄   

  1. 西北工业大学 375信箱西安 710072
  • 收稿日期:1991-12-09 修回日期:1992-03-27 出版日期:1992-11-25 发布日期:1992-11-25

A NEW ALGORITHM FOR THE SYSTEM OF LINEAR EQUATIONS OF FEM

Shuai Chao-lin, Yang Qing-xiong   

  1. Box 375, Northwestern Polytechnical University, Xi'an, 710072
  • Received:1991-12-09 Revised:1992-03-27 Online:1992-11-25 Published:1992-11-25

摘要: 本文采用链表数据结构存储有限元结构总体刚度矩阵,对一有限元结构分析系统进行了改进。算例表明,改进后的系统可使存储总体刚度矩阵所需内存及分解总刚阵时间分别下降到原系统的1/2~1/4,大大提高了计算机的解题能力和执行效率。该系统可在微机上进行大型复杂结构的受力分析。

关键词: 链表数据结构, 有限元, 总体刚度矩阵, 微型计算机

Abstract: This paper provides a new storing method with the link-table data structure to store the global stiffness matrix in the finite element structural analysis system, and improves a finite element structural analysis system. By examples, it is proved that, with the new system, the computer memory to store the matrix can be decreased about 50%, and the time for solving the dystem of linear equations can be reduced to a quarter. Therefore, the solving capacity and efficiency of the new system can be improved greatly, and the new system can do the complex structural analysis in micro-computers.

Key words: link-table data structure finite element method, global stiffness matrix, mirco-computer